Question

Two families had a garage sale together. The entire garage sale brought in $1,640. One family made $182 more than twice as much as the second family.

How much did each family make at the garage sale?

Answer 1

One family made $911 while the other made $729

Answer 2

$1154 and $486

Explanation:

Let x be the amount the first family made and y be the amount the second family made. We can use this to set up a system of equations:

x+y=1640

x=2y+182

We can solve this system using substitution:

2y+182+y=1640

Add like terms

3y+182=1640

Subtract 182 from both sides

3y=1458

Divide both sides by 3

y=486

Now we plug in 486 for y to get:

x=2(486)+182

x=972+182

x=1154

One family made $1154 and the other made $486